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Finding the Fourth Proportional to 3,821.34, 5,702.67 and 3,799.44

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Solution

The fourth proportional to 3,821.34, 5,702.67 and 3,799.44 is: 5,669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.34 : 5,702.67 = 3,799.44 : x
  2. Step 2: Convert to fraction form
    3,821.34/5,702.67 = 3,799.44/x
  3. Step 3: Cross multiply
    3,821.34x = 5,702.67 × 3,799.44
  4. Step 4: Simplify right side
    3,821.34x = 21,666,952.50
  5. Step 5: Solve for x
    x = 21,666,952.50/3,821.34
  6. Step 6: Final answer
    x = 5,669.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.